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78801552 = 2433792309
BaseRepresentation
bin1001011001001…
…10101010010000
312111021112102000
410230212222100
5130133122202
611452554000
71644542064
oct454465220
9174245360
1078801552
1140532855
1222482900
1313430a4b
14a673aa4
156db891c
hex4b26a90

78801552 has 80 divisors (see below), whose sum is σ = 229152000. Its totient is φ = 25923456.

The previous prime is 78801533. The next prime is 78801553. The reversal of 78801552 is 25510887.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78801553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32974 + ... + 35282.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 278801552 is an apocalyptic number.

78801552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78801552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576000).

78801552 is an abundant number, since it is smaller than the sum of its proper divisors (150350448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78801552 is a wasteful number, since it uses less digits than its factorization.

78801552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 78801552 is about 8877.0238255848. The cubic root of 78801552 is about 428.7244550679.

The spelling of 78801552 in words is "seventy-eight million, eight hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2309 2844 3792 4266 4618 5688 6927 8532 9236 11376 13854 17064 18472 20781 27708 34128 36944 41562 55416 62343 83124 110832 124686 166248 182411 249372 332496 364822 498744 547233 729644 997488 1094466 1459288 1641699 2188932 2918576 3283398 4377864 4925097 6566796 8755728 9850194 13133592 19700388 26267184 39400776 78801552