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40695732 = 223271153277
BaseRepresentation
bin1001101100111…
…1011110110100
32211120120001100
42123033132310
540404230412
64012130100
71002623310
oct233173664
984516040
1040695732
1120a76340
1211766930
13857b41c
145594b40
15388cedc
hex26cf7b4

40695732 has 144 divisors (see below), whose sum is σ = 131144832. Its totient is φ = 10333440.

The previous prime is 40695731. The next prime is 40695737. The reversal of 40695732 is 23759604.

It is a super-2 number, since 2×406957322 = 3312285206031648, which contains 22 as substring.

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 (40695731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146778 + ... + 147054.

It is an arithmetic number, because the mean of its divisors is an integer number (910728).

Almost surely, 240695732 is an apocalyptic number.

40695732 is a gapful number since it is divisible by the number (42) 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 40695732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65572416).

40695732 is an abundant number, since it is smaller than the sum of its proper divisors (90449100).

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

40695732 is a wasteful number, since it uses less digits than its factorization.

40695732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 40695732 is about 6379.3206534865. The cubic root of 40695732 is about 343.9666115963.

It can be divided in two parts, 4069 and 5732, that added together give a square (9801 = 992).

The spelling of 40695732 in words is "forty million, six hundred ninety-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 53 63 66 77 84 99 106 126 132 154 159 198 212 231 252 277 308 318 371 396 462 477 554 583 636 693 742 831 924 954 1108 1113 1166 1386 1484 1662 1749 1908 1939 2226 2332 2493 2772 3047 3324 3339 3498 3878 4081 4452 4986 5247 5817 6094 6678 6996 7756 8162 9141 9972 10494 11634 12188 12243 13356 14681 16324 17451 18282 20988 21329 23268 24486 27423 29362 34902 36564 36729 42658 44043 48972 54846 58724 63987 69804 73458 85316 88086 102767 109692 127974 132129 146916 161491 176172 191961 205534 255948 264258 308301 322982 383922 411068 484473 528516 616602 645964 767844 924903 968946 1130437 1233204 1453419 1849806 1937892 2260874 2906838 3391311 3699612 4521748 5813676 6782622 10173933 13565244 20347866 40695732