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40148976 = 2437192331
BaseRepresentation
bin1001100100100…
…1111111110000
32210112210001010
42121021333300
540234231401
63552310520
7665155260
oct231117760
983483033
1040148976
112073257a
1211542440
1384195ba
1454917a0
1537d0ed6
hex2649ff0

40148976 has 120 divisors (see below), whose sum is σ = 125480064. Its totient is φ = 10834560.

The previous prime is 40148947. The next prime is 40148981. The reversal of 40148976 is 67984104.

It is a happy number.

It is a super-2 number, since 2×401489762 = 3223880547697152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121131 + ... + 121461.

Almost surely, 240148976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40148976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62740032).

40148976 is an abundant number, since it is smaller than the sum of its proper divisors (85331088).

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

40148976 is a wasteful number, since it uses less digits than its factorization.

40148976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 40148976 is about 6336.3219615168. The cubic root of 40148976 is about 342.4192389545.

The spelling of 40148976 in words is "forty million, one hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 331 336 361 399 456 532 662 722 798 912 993 1064 1083 1324 1444 1596 1986 2128 2166 2317 2527 2648 2888 3192 3972 4332 4634 5054 5296 5776 6289 6384 6951 7581 7944 8664 9268 10108 12578 13902 15162 15888 17328 18536 18867 20216 25156 27804 30324 37072 37734 40432 44023 50312 55608 60648 75468 88046 100624 111216 119491 121296 132069 150936 176092 238982 264138 301872 352184 358473 477964 528276 704368 716946 836437 955928 1056552 1433892 1672874 1911856 2113104 2509311 2867784 3345748 5018622 5735568 6691496 10037244 13382992 20074488 40148976