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532240480 = 25529251457
BaseRepresentation
bin11111101110010…
…101100001100000
31101002111121200101
4133232111201200
52042223143410
6124451432144
716121653342
oct3756254140
91332447611
10532240480
11253488172
1212a2b5654
1386362ac5
1450989292
1531ad5d3a
hex1fb95860

532240480 has 96 divisors (see below), whose sum is σ = 1308817440. Its totient is φ = 204288000.

The previous prime is 532240463. The next prime is 532240481. The reversal of 532240480 is 84042235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532240481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164412 + ... + 1164868.

It is an arithmetic number, because the mean of its divisors is an integer number (13633515).

Almost surely, 2532240480 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 532240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654408720).

532240480 is an abundant number, since it is smaller than the sum of its proper divisors (776576960).

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

532240480 is a wasteful number, since it uses less digits than its factorization.

532240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 532240480 is about 23070.3376654959. The cubic root of 532240480 is about 810.4059744105.

The spelling of 532240480 in words is "five hundred thirty-two million, two hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 251 290 457 464 502 580 914 928 1004 1160 1255 1828 2008 2285 2320 2510 3656 4016 4570 4640 5020 7279 7312 8032 9140 10040 13253 14558 14624 18280 20080 26506 29116 36395 36560 40160 53012 58232 66265 72790 73120 106024 114707 116464 132530 145580 212048 229414 232928 265060 291160 424096 458828 530120 573535 582320 917656 1060240 1147070 1164640 1835312 2120480 2294140 3326503 3670624 4588280 6653006 9176560 13306012 16632515 18353120 26612024 33265030 53224048 66530060 106448096 133060120 266120240 532240480