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40955328 = 2633137173
BaseRepresentation
bin1001110000111…
…0110111000000
32212001202011000
42130032313000
540441032303
64021452000
71005054201
oct234166700
985052130
1040955328
1121133387
1211871000
13863c62b
1456215a8
1538deda3
hex270edc0

40955328 has 112 divisors (see below), whose sum is σ = 121980960. Its totient is φ = 13473792.

The previous prime is 40955303. The next prime is 40955347. The reversal of 40955328 is 82355904.

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

It is a junction number, because it is equal to n+sod(n) for n = 40955292 and 40955301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236650 + ... + 236822.

Almost surely, 240955328 is an apocalyptic number.

40955328 is a gapful number since it is divisible by the number (48) 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 40955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60990480).

40955328 is an abundant number, since it is smaller than the sum of its proper divisors (81025632).

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

40955328 is a wasteful number, since it uses less digits than its factorization.

40955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 40955328 is about 6399.6349895912. The cubic root of 40955328 is about 344.6964437624.

The spelling of 40955328 in words is "forty million, nine hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 173 192 216 274 288 346 411 432 519 548 576 692 822 864 1038 1096 1233 1384 1557 1644 1728 2076 2192 2466 2768 3114 3288 3699 4152 4384 4671 4932 5536 6228 6576 7398 8304 8768 9342 9864 11072 12456 13152 14796 16608 18684 19728 23701 24912 26304 29592 33216 37368 39456 47402 49824 59184 71103 74736 78912 94804 99648 118368 142206 149472 189608 213309 236736 284412 298944 379216 426618 568824 639927 758432 853236 1137648 1279854 1516864 1706472 2275296 2559708 3412944 4550592 5119416 6825888 10238832 13651776 20477664 40955328