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40357044 = 223271397127
BaseRepresentation
bin1001100111110…
…0110010110100
32210221100110100
42121330302310
540312411134
64000554100
71000013010
oct231746264
983840410
1040357044
1120864932
1211622930
138490210
145507540
153822999
hex267ccb4

40357044 has 144 divisors (see below), whose sum is σ = 127848448. Its totient is φ = 10450944.

The previous prime is 40357043. The next prime is 40357061. The reversal of 40357044 is 44075304.

It is a junction number, because it is equal to n+sod(n) for n = 40356999 and 40357017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40357043) 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, 317709 + ... + 317835.

Almost surely, 240357044 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 40357044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63924224).

40357044 is an abundant number, since it is smaller than the sum of its proper divisors (87491404).

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

40357044 is a wasteful number, since it uses less digits than its factorization.

40357044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 40357044 is about 6352.7194176982. The cubic root of 40357044 is about 343.0097377295.

The spelling of 40357044 in words is "forty million, three hundred fifty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 97 117 126 127 156 182 194 234 252 254 273 291 364 381 388 468 508 546 582 679 762 819 873 889 1092 1143 1164 1261 1358 1524 1638 1651 1746 1778 2037 2286 2522 2667 2716 3276 3302 3492 3556 3783 4074 4572 4953 5044 5334 6111 6604 7566 8001 8148 8827 9906 10668 11349 11557 12222 12319 14859 15132 16002 17654 19812 22698 23114 24444 24638 26481 29718 32004 34671 35308 36957 45396 46228 49276 52962 59436 69342 73914 79443 86233 104013 105924 110871 138684 147828 158886 160147 172466 208026 221742 258699 317772 320294 344932 416052 443484 480441 517398 640588 776097 960882 1034796 1121029 1441323 1552194 1921764 2242058 2882646 3104388 3363087 4484116 5765292 6726174 10089261 13452348 20178522 40357044