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400315536 = 243229257373
BaseRepresentation
bin10111110111000…
…101010010010000
31000220021010200100
4113313011102100
51304440044121
6103420052400
712630424455
oct2767052220
91026233610
10400315536
11195a70a95
12b2094100
1364c220ca
143b24782c
1525227026
hex17dc5490

400315536 has 120 divisors (see below), whose sum is σ = 1166588280. Its totient is φ = 127991808.

The previous prime is 400315523. The next prime is 400315547. The reversal of 400315536 is 635513004.

It can be written as a sum of positive squares in 4 ways, for example, as 188787600 + 211527936 = 13740^2 + 14544^2 .

It is a congruent number.

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, 1073046 + ... + 1073418.

It is an arithmetic number, because the mean of its divisors is an integer number (9721569).

Almost surely, 2400315536 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 400315536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583294140).

400315536 is an abundant number, since it is smaller than the sum of its proper divisors (766272744).

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

400315536 is a wasteful number, since it uses less digits than its factorization.

400315536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 400315536 is about 20007.8868449419. The cubic root of 400315536 is about 736.9999895674. Note that the first 4 decimals are identical.

The spelling of 400315536 in words is "four hundred million, three hundred fifteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 257 261 348 373 464 514 522 696 746 771 1028 1044 1119 1392 1492 1542 2056 2088 2238 2313 2984 3084 3357 4112 4176 4476 4626 5968 6168 6714 7453 8952 9252 10817 12336 13428 14906 17904 18504 21634 22359 26856 29812 32451 37008 43268 44718 53712 59624 64902 67077 86536 89436 95861 97353 119248 129804 134154 173072 178872 191722 194706 259608 268308 287583 357744 383444 389412 519216 536616 575166 766888 778824 862749 1073232 1150332 1533776 1557648 1725498 2300664 2779969 3450996 4601328 5559938 6901992 8339907 11119876 13803984 16679814 22239752 25019721 33359628 44479504 50039442 66719256 100078884 133438512 200157768 400315536