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40274496 = 263417457
BaseRepresentation
bin1001100110100…
…0101001000000
32210210011020000
42121220221000
540302240441
63555120000
7666220233
oct231505100
983704200
1040274496
1120808909
12115a3000
138461782
1454c541a
1538082b6
hex2668a40

40274496 has 140 divisors (see below), whose sum is σ = 126685548. Its totient is φ = 12607488.

The previous prime is 40274489. The next prime is 40274501. The reversal of 40274496 is 69447204.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 7096896 = 5760^2 + 2664^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 40274496.

It is a congruent number.

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, 87900 + ... + 88356.

Almost surely, 240274496 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 40274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63342774).

40274496 is an abundant number, since it is smaller than the sum of its proper divisors (86411052).

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

40274496 is a wasteful number, since it uses less digits than its factorization.

40274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 40274496 is about 6346.2190318330. The cubic root of 40274496 is about 342.7757092313.

The spelling of 40274496 in words is "forty million, two hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 457 459 544 576 612 648 816 864 914 918 1088 1224 1296 1371 1377 1632 1728 1828 1836 2448 2592 2742 2754 3264 3656 3672 4113 4896 5184 5484 5508 7312 7344 7769 8226 9792 10968 11016 12339 14624 14688 15538 16452 21936 22032 23307 24678 29248 29376 31076 32904 37017 43872 44064 46614 49356 62152 65808 69921 74034 87744 88128 93228 98712 124304 131616 139842 148068 186456 197424 209763 248608 263232 279684 296136 372912 394848 419526 497216 559368 592272 629289 745824 789696 839052 1118736 1184544 1258578 1491648 1678104 2237472 2369088 2517156 3356208 4474944 5034312 6712416 10068624 13424832 20137248 40274496