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70046688 = 2535983149
BaseRepresentation
bin1000010110011…
…01001111100000
311212210201222210
410023031033200
5120412443223
610541202120
71510246515
oct413151740
9155721883
1070046688
11365a3128
121b560340
1311686b5a
14943530c
156239893
hex42cd3e0

70046688 has 96 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 22524416.

The previous prime is 70046677. The next prime is 70046719. The reversal of 70046688 is 88664007.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×700466883 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470038 + ... + 470186.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 270046688 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 70046688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

70046688 is an abundant number, since it is smaller than the sum of its proper divisors (120465312).

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

70046688 is a wasteful number, since it uses less digits than its factorization.

70046688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 70046688 is about 8369.3899419253. The cubic root of 70046688 is about 412.2201356026.

The spelling of 70046688 in words is "seventy million, forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 83 96 118 149 166 177 236 249 298 332 354 447 472 498 596 664 708 894 944 996 1192 1328 1416 1788 1888 1992 2384 2656 2832 3576 3984 4768 4897 5664 7152 7968 8791 9794 12367 14304 14691 17582 19588 24734 26373 29382 35164 37101 39176 49468 52746 58764 70328 74202 78352 98936 105492 117528 140656 148404 156704 197872 210984 235056 281312 296808 395744 421968 470112 593616 729653 843936 1187232 1459306 2188959 2918612 4377918 5837224 8755836 11674448 17511672 23348896 35023344 70046688