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40973504 = 261131337
BaseRepresentation
bin1001110001001…
…1010011000000
32212002200002012
42130103103000
540442123004
64022112052
71005161165
oct234232300
985080065
1040973504
1121146000
121187b628
1386479a0
14562806c
1538e546e
hex27134c0

40973504 has 112 divisors (see below), whose sum is σ = 98913696. Its totient is φ = 16727040.

The previous prime is 40973501. The next prime is 40973507. The reversal of 40973504 is 40537904.

It is an interprime number because it is at equal distance from previous prime (40973501) and next prime (40973507).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40973501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107374 + ... + 1107410.

It is an arithmetic number, because the mean of its divisors is an integer number (883158).

Almost surely, 240973504 is an apocalyptic number.

40973504 is a gapful number since it is divisible by the number (44) 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 40973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49456848).

40973504 is an abundant number, since it is smaller than the sum of its proper divisors (57940192).

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

40973504 is a wasteful number, since it uses less digits than its factorization.

40973504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 40973504 is about 6401.0549130593. The cubic root of 40973504 is about 344.7474283861.

Subtracting from 40973504 its reverse (40537904), we obtain a square (435600 = 6602).

The spelling of 40973504 in words is "forty million, nine hundred seventy-three thousand, five hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 104 121 143 148 176 208 242 286 296 352 407 416 481 484 572 592 704 814 832 962 968 1144 1184 1331 1573 1628 1924 1936 2288 2368 2662 3146 3256 3848 3872 4477 4576 5291 5324 6292 6512 7696 7744 8954 9152 10582 10648 12584 13024 15392 17303 17908 21164 21296 25168 26048 30784 34606 35816 42328 42592 49247 50336 58201 69212 71632 84656 85184 98494 100672 116402 138424 143264 169312 196988 232804 276848 286528 338624 393976 465608 553696 640211 787952 931216 1107392 1280422 1575904 1862432 2560844 3151808 3724864 5121688 10243376 20486752 40973504