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59228416 = 28132372
BaseRepresentation
bin1110000111110…
…0000100000000
311010110010010001
43201330010000
5110130302131
65513245344
71316301412
oct341740400
9133403101
1059228416
1130484205
1217a03854
13c369a00
147c1a9b2
1552ee261
hex387c100

59228416 has 81 divisors (see below), whose sum is σ = 131572791. Its totient is φ = 26597376.

The previous prime is 59228359. The next prime is 59228431. The reversal of 59228416 is 61482295.

The square root of 59228416 is 7696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 58982400 = 496^2 + 7680^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1600750 + ... + 1600786.

Almost surely, 259228416 is an apocalyptic number.

59228416 is the 7696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59228416

59228416 is an abundant number, since it is smaller than the sum of its proper divisors (72344375).

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

59228416 is an equidigital number, since it uses as much as digits as its factorization.

59228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 52 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The cubic root of 59228416 is about 389.8013803454.

The spelling of 59228416 in words is "fifty-nine million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 169 208 256 296 338 416 481 592 676 832 962 1184 1352 1369 1664 1924 2368 2704 2738 3328 3848 4736 5408 5476 6253 7696 9472 10816 10952 12506 15392 17797 21632 21904 25012 30784 35594 43264 43808 50024 61568 71188 87616 100048 123136 142376 175232 200096 231361 284752 350464 400192 462722 569504 800384 925444 1139008 1600768 1850888 2278016 3701776 4556032 7403552 14807104 29614208 59228416