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40970272 = 2572172953
BaseRepresentation
bin1001110001001…
…0100000100000
32212002111122111
42130102200200
540442022042
64022045104
71005145600
oct234224040
985074574
1040970272
1121143632
1211879794
138646385
145626c00
1538e4517
hex2712820

40970272 has 144 divisors (see below), whose sum is σ = 104713560. Its totient is φ = 15654912.

The previous prime is 40970263. The next prime is 40970311. The reversal of 40970272 is 27207904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40398736 + 571536 = 6356^2 + 756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772998 + ... + 773050.

Almost surely, 240970272 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 40970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52356780).

40970272 is an abundant number, since it is smaller than the sum of its proper divisors (63743288).

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

40970272 is a wasteful number, since it uses less digits than its factorization.

40970272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 40970272 is about 6400.8024496933. The cubic root of 40970272 is about 344.7383635606.

The spelling of 40970272 in words is "forty million, nine hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 49 53 56 58 68 98 106 112 116 119 136 196 203 212 224 232 238 272 371 392 406 424 464 476 493 544 742 784 812 833 848 901 928 952 986 1421 1484 1537 1568 1624 1666 1696 1802 1904 1972 2597 2842 2968 3074 3248 3332 3451 3604 3808 3944 5194 5684 5936 6148 6307 6496 6664 6902 7208 7888 10388 10759 11368 11872 12296 12614 13328 13804 14416 15776 20776 21518 22736 24157 24592 25228 26129 26656 27608 28832 41552 43036 44149 45472 48314 49184 50456 52258 55216 75313 83104 86072 88298 96628 100912 104516 110432 150626 172144 176596 182903 193256 201824 209032 301252 344288 353192 365806 386512 418064 602504 706384 731612 773024 836128 1205008 1280321 1412768 1463224 2410016 2560642 2926448 5121284 5852896 10242568 20485136 40970272