Search a number
-
+
59057152 = 2107211107
BaseRepresentation
bin1110000101001…
…0010000000000
311010010102011221
43201102100000
5110104312102
65505444424
71314656200
oct341222000
9133112157
1059057152
1130377570
1217940714
13c309a7b
147bb4400
1552b8637
hex3852400

59057152 has 132 divisors (see below), whose sum is σ = 151215984. Its totient is φ = 22794240.

The previous prime is 59057129. The next prime is 59057197. The reversal of 59057152 is 25175095.

It is a super-2 number, since 2×590571522 = 6975494404702208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551883 + ... + 551989.

Almost surely, 259057152 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 59057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75607992).

59057152 is an abundant number, since it is smaller than the sum of its proper divisors (92158832).

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

59057152 is a wasteful number, since it uses less digits than its factorization.

59057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 34.

The square root of 59057152 is about 7684.8651256870. The cubic root of 59057152 is about 389.4253030159.

The spelling of 59057152 in words is "fifty-nine million, fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 107 112 128 154 176 196 214 224 256 308 352 392 428 448 512 539 616 704 749 784 856 896 1024 1078 1177 1232 1408 1498 1568 1712 1792 2156 2354 2464 2816 2996 3136 3424 3584 4312 4708 4928 5243 5632 5992 6272 6848 7168 8239 8624 9416 9856 10486 11264 11984 12544 13696 16478 17248 18832 19712 20972 23968 25088 27392 32956 34496 37664 39424 41944 47936 50176 54784 57673 65912 68992 75328 78848 83888 95872 109568 115346 131824 137984 150656 167776 191744 230692 263648 275968 301312 335552 383488 461384 527296 551936 602624 671104 766976 922768 1054592 1205248 1342208 1845536 2109184 2684416 3691072 4218368 5368832 7382144 8436736 14764288 29528576 59057152