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40161072 = 2437177989
BaseRepresentation
bin1001100100110…
…0111100110000
32210120101122010
42121030330300
540240123242
63552442520
7665235450
oct231147460
983511563
1040161072
1120740676
1211549440
138421c63
145495d60
1537d489c
hex264cf30

40161072 has 160 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 10543104.

The previous prime is 40161061. The next prime is 40161091. The reversal of 40161072 is 27016104.

It is a super-2 number, since 2×401610722 = 3225823408378368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451204 + ... + 451292.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 240161072 is an apocalyptic number.

40161072 is a gapful number since it is divisible by the number (42) 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 40161072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

40161072 is an abundant number, since it is smaller than the sum of its proper divisors (88402128).

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

40161072 is a wasteful number, since it uses less digits than its factorization.

40161072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 40161072 is about 6337.2763865875. The cubic root of 40161072 is about 342.4536232871.

Adding to 40161072 its reverse (27016104), we get a palindrome (67177176).

The spelling of 40161072 in words is "forty million, one hundred sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 79 84 89 102 112 119 136 158 168 178 204 237 238 267 272 316 336 356 357 408 474 476 534 553 623 632 712 714 816 948 952 1068 1106 1246 1264 1343 1424 1428 1513 1659 1869 1896 1904 2136 2212 2492 2686 2856 3026 3318 3738 3792 4029 4272 4424 4539 4984 5372 5712 6052 6636 7031 7476 8058 8848 9078 9401 9968 10591 10744 12104 13272 14062 14952 16116 18156 18802 21093 21182 21488 24208 26544 28124 28203 29904 31773 32232 36312 37604 42186 42364 49217 56248 56406 63546 64464 72624 75208 84372 84728 98434 112496 112812 119527 127092 147651 150416 168744 169456 196868 225624 239054 254184 295302 337488 358581 393736 451248 478108 508368 590604 717162 787472 836689 956216 1181208 1434324 1673378 1912432 2362416 2510067 2868648 3346756 5020134 5737296 6693512 10040268 13387024 20080536 40161072