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70039424 = 277213859
BaseRepresentation
bin1000010110010…
…11011110000000
311212210101000202
410023023132000
5120412230144
610541104332
71510216400
oct413133600
9155711022
1070039424
1136598724
121b5580a8
1311683760
149432800
15623764e
hex42cb780

70039424 has 96 divisors (see below), whose sum is σ = 175001400. Its totient is φ = 27675648.

The previous prime is 70039423. The next prime is 70039433. The reversal of 70039424 is 42493007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70039423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81107 + ... + 81965.

Almost surely, 270039424 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 70039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87500700).

70039424 is an abundant number, since it is smaller than the sum of its proper divisors (104961976).

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

70039424 is a wasteful number, since it uses less digits than its factorization.

70039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 70039424 is about 8368.9559683392. The cubic root of 70039424 is about 412.2058857231.

The spelling of 70039424 in words is "seventy million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 859 896 1274 1456 1568 1664 1718 2548 2912 3136 3436 5096 5824 6013 6272 6872 10192 11167 11648 12026 13744 20384 22334 24052 27488 40768 42091 44668 48104 54976 78169 81536 84182 89336 96208 109952 156338 168364 178672 192416 312676 336728 357344 384832 547183 625352 673456 714688 769664 1094366 1250704 1346912 1429376 2188732 2501408 2693824 4377464 5002816 5387648 8754928 10005632 17509856 35019712 70039424