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40904352 = 253443367
BaseRepresentation
bin1001110000001…
…0011010100000
32211222011020000
42130002122200
540432414402
64020420000
71004452446
oct234023240
984864200
1040904352
11210a9055
1211847600
138622378
14560ab96
1538cec1c
hex27026a0

40904352 has 120 divisors (see below), whose sum is σ = 123431616. Its totient is φ = 13281408.

The previous prime is 40904273. The next prime is 40904387. The reversal of 40904352 is 25340904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111273 + ... + 111639.

Almost surely, 240904352 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 40904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61715808).

40904352 is an abundant number, since it is smaller than the sum of its proper divisors (82527264).

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

40904352 is a wasteful number, since it uses less digits than its factorization.

40904352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40904352 is about 6395.6510223745. The cubic root of 40904352 is about 344.5533729096.

The spelling of 40904352 in words is "forty million, nine hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 258 288 324 344 367 387 432 516 648 688 734 774 864 1032 1101 1161 1296 1376 1468 1548 2064 2202 2322 2592 2936 3096 3303 3483 4128 4404 4644 5872 6192 6606 6966 8808 9288 9909 11744 12384 13212 13932 15781 17616 18576 19818 26424 27864 29727 31562 35232 37152 39636 47343 52848 55728 59454 63124 79272 94686 105696 111456 118908 126248 142029 158544 189372 237816 252496 284058 317088 378744 426087 475632 504992 568116 757488 852174 951264 1136232 1278261 1514976 1704348 2272464 2556522 3408696 4544928 5113044 6817392 10226088 13634784 20452176 40904352