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536370432 = 28313311733
BaseRepresentation
bin11111111110000…
…101110100000000
31101101021102220120
4133332011310000
52044302323212
6125120140240
716202034123
oct3776056400
91341242816
10536370432
11255849054
1212b767680
138717a870
14513423ba
153214e88c
hex1ff85d00

536370432 has 144 divisors (see below), whose sum is σ = 1587844608. Its totient is φ = 159621120.

The previous prime is 536370409. The next prime is 536370469. The reversal of 536370432 is 234073635.

It is a junction number, because it is equal to n+sod(n) for n = 536370393 and 536370402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308638 + ... + 310370.

Almost surely, 2536370432 is an apocalyptic number.

536370432 is a gapful number since it is divisible by the number (52) 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 536370432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793922304).

536370432 is an abundant number, since it is smaller than the sum of its proper divisors (1051474176).

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

536370432 is a wasteful number, since it uses less digits than its factorization.

536370432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 536370432 is about 23159.6725365451. The cubic root of 536370432 is about 812.4967072687.

The spelling of 536370432 in words is "five hundred thirty-six million, three hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 624 744 768 806 832 992 1209 1248 1488 1612 1664 1733 1984 2418 2496 2976 3224 3328 3466 3968 4836 4992 5199 5952 6448 6932 7936 9672 9984 10398 11904 12896 13864 19344 20796 22529 23808 25792 27728 38688 41592 45058 51584 53723 55456 67587 77376 83184 90116 103168 107446 110912 135174 154752 161169 166368 180232 214892 221824 270348 309504 322338 332736 360464 429784 443648 540696 644676 665472 698399 720928 859568 1081392 1289352 1330944 1396798 1441856 1719136 2095197 2162784 2578704 2793596 2883712 3438272 4190394 4325568 5157408 5587192 5767424 6876544 8380788 8651136 10314816 11174384 13753088 16761576 17302272 20629632 22348768 33523152 41259264 44697536 67046304 89395072 134092608 178790144 268185216 536370432