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70649568 = 25321129769
BaseRepresentation
bin1000011011000…
…00011011100000
311220221100222200
410031200123200
5121041241233
611002133200
71515340263
oct415403340
9156840880
1070649568
1136975080
121b7b1200
13118383a2
149550cda
156308313
hex43606e0

70649568 has 144 divisors (see below), whose sum is σ = 227026800. Its totient is φ = 20643840.

The previous prime is 70649503. The next prime is 70649591. The reversal of 70649568 is 86594607.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×706495682 = 9982722917173248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91488 + ... + 92256.

It is an arithmetic number, because the mean of its divisors is an integer number (1576575).

Almost surely, 270649568 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 70649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113513400).

70649568 is an abundant number, since it is smaller than the sum of its proper divisors (156377232).

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

70649568 is a wasteful number, since it uses less digits than its factorization.

70649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 70649568 is about 8405.3297377319. The cubic root of 70649568 is about 413.3993951526.

It can be divided in two parts, 7064956 and 8, that added together give a square (7064964 = 26582).

The spelling of 70649568 in words is "seventy million, six hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 769 792 928 957 1044 1056 1276 1392 1538 1584 1914 2088 2307 2552 2784 2871 3076 3168 3828 4176 4614 5104 5742 6152 6921 7656 8352 8459 9228 10208 11484 12304 13842 15312 16918 18456 22301 22968 24608 25377 27684 30624 33836 36912 44602 45936 50754 55368 66903 67672 73824 76131 89204 91872 101508 110736 133806 135344 152262 178408 200709 203016 221472 245311 267612 270688 304524 356816 401418 406032 490622 535224 609048 713632 735933 802836 812064 981244 1070448 1218096 1471866 1605672 1962488 2140896 2207799 2436192 2943732 3211344 3924976 4415598 5887464 6422688 7849952 8831196 11774928 17662392 23549856 35324784 70649568