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40919472 = 24331179109
BaseRepresentation
bin1001110000011…
…0000110110000
32211222220222000
42130012012300
540433410342
64021014000
71004544516
oct234060660
984886860
1040919472
1121109450
1211854300
138629209
1456124b6
1538d444c
hex27061b0

40919472 has 160 divisors (see below), whose sum is σ = 130944000. Its totient is φ = 12130560.

The previous prime is 40919419. The next prime is 40919479. The reversal of 40919472 is 27491904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40919479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375354 + ... + 375462.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 240919472 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 40919472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472000).

40919472 is an abundant number, since it is smaller than the sum of its proper divisors (90024528).

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

40919472 is a wasteful number, since it uses less digits than its factorization.

40919472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 40919472 is about 6396.8329663983. The cubic root of 40919472 is about 344.5958215731.

It can be divided in two parts, 409 and 19472, that added together give a square (19881 = 1412).

The spelling of 40919472 in words is "forty million, nine hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 79 88 99 108 109 132 144 158 176 198 216 218 237 264 297 316 327 396 432 436 474 528 594 632 654 711 792 869 872 948 981 1188 1199 1264 1308 1422 1584 1738 1744 1896 1962 2133 2376 2398 2607 2616 2844 2943 3476 3597 3792 3924 4266 4752 4796 5214 5232 5688 5886 6952 7194 7821 7848 8532 8611 9592 10428 10791 11376 11772 13904 14388 15642 15696 17064 17222 19184 20856 21582 23463 23544 25833 28776 31284 32373 34128 34444 41712 43164 46926 47088 51666 57552 62568 64746 68888 77499 86328 93852 94721 103332 125136 129492 137776 154998 172656 187704 189442 206664 232497 258984 284163 309996 375408 378884 413328 464994 517968 568326 619992 757768 852489 929988 1136652 1239984 1515536 1704978 1859976 2273304 2557467 3409956 3719952 4546608 5114934 6819912 10229868 13639824 20459736 40919472