Search a number
-
+
70649856 = 211323833
BaseRepresentation
bin1000011011000…
…00100000000000
311220221101101100
410031200200000
5121041243411
611002134400
71515341154
oct415404000
9156841340
1070649856
1136975312
121b7b1400
1311838564
149551064
156308456
hex4360800

70649856 has 72 divisors (see below), whose sum is σ = 204102990. Its totient is φ = 23543808.

The previous prime is 70649833. The next prime is 70649861. The reversal of 70649856 is 65894607.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 4064256 = 8160^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16516 + ... + 20348.

Almost surely, 270649856 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 70649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102051495).

70649856 is an abundant number, since it is smaller than the sum of its proper divisors (133453134).

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

70649856 is a wasteful number, since it uses less digits than its factorization.

70649856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3838 counting only the distinct ones).

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

The square root of 70649856 is about 8405.3468697015. The cubic root of 70649856 is about 413.3999568870.

The spelling of 70649856 in words is "seventy million, six hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3833 4608 6144 7666 9216 11499 15332 18432 22998 30664 34497 45996 61328 68994 91992 122656 137988 183984 245312 275976 367968 490624 551952 735936 981248 1103904 1471872 1962496 2207808 2943744 3924992 4415616 5887488 7849984 8831232 11774976 17662464 23549952 35324928 70649856