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58201472 = 277173821
BaseRepresentation
bin1101111000000…
…1010110000000
311001111221102002
43132001112000
5104344421342
65435243132
71304463410
oct336012600
9131457362
1058201472
112a94269a
12175a94a8
13c09a454
147a30640
155199d32
hex3781580

58201472 has 64 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 23470080.

The previous prime is 58201471. The next prime is 58201499. The reversal of 58201472 is 27410285.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×582014722 = 6774822685933568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58201471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13322 + ... + 17142.

Almost surely, 258201472 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 58201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

58201472 is an abundant number, since it is smaller than the sum of its proper divisors (82142368).

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

58201472 is a wasteful number, since it uses less digits than its factorization.

58201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 58201472 is about 7628.9889238352. The cubic root of 58201472 is about 387.5353491165.

The spelling of 58201472 in words is "fifty-eight million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 3821 7616 7642 15232 15284 26747 30568 53494 61136 64957 106988 122272 129914 213976 244544 259828 427952 454699 489088 519656 855904 909398 1039312 1711808 1818796 2078624 3423616 3637592 4157248 7275184 8314496 14550368 29100736 58201472