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40896016 = 2471747457
BaseRepresentation
bin1001110000000…
…0011000010000
32211221201210021
42130000120100
540432133031
64020313224
71004416240
oct234003020
984851707
1040896016
11210a2867
1211842814
13861b635
145607b20
1538cc511
hex2700610

40896016 has 80 divisors (see below), whose sum is σ = 98136576. Its totient is φ = 16109568.

The previous prime is 40895993. The next prime is 40896017. The reversal of 40896016 is 61069804.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40896017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89260 + ... + 89716.

Almost surely, 240896016 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 40896016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49068288).

40896016 is an abundant number, since it is smaller than the sum of its proper divisors (57240560).

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

40896016 is a wasteful number, since it uses less digits than its factorization.

40896016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 40896016 is about 6394.9992963252. Note that the first 3 decimals coincide. The cubic root of 40896016 is about 344.5299655221.

The spelling of 40896016 in words is "forty million, eight hundred ninety-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 47 56 68 94 112 119 136 188 238 272 329 376 457 476 658 752 799 914 952 1316 1598 1828 1904 2632 3196 3199 3656 5264 5593 6392 6398 7312 7769 11186 12784 12796 15538 21479 22372 25592 31076 42958 44744 51184 54383 62152 85916 89488 108766 124304 150353 171832 217532 300706 343664 365143 435064 601412 730286 870128 1202824 1460572 2405648 2556001 2921144 5112002 5842288 10224004 20448008 40896016