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70490624 = 2937612
BaseRepresentation
bin1000011001110…
…01101000000000
311220122021221212
410030321220000
5121021144444
610554505252
71514106011
oct414715000
9156567855
1070490624
1136876716
121b735228
13117b0c39
14950d008
1562c619e
hex4339a00

70490624 has 60 divisors (see below), whose sum is σ = 147060342. Its totient is φ = 33730560.

The previous prime is 70490617. The next prime is 70490657. The reversal of 70490624 is 42609407.

It can be written as a sum of positive squares in 3 ways, for example, as 36385024 + 34105600 = 6032^2 + 5840^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1155554 + ... + 1155614.

Almost surely, 270490624 is an apocalyptic number.

70490624 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73530171).

70490624 is an abundant number, since it is smaller than the sum of its proper divisors (76569718).

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

70490624 is an frugal number, since it uses more digits than its factorization.

70490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 70490624 is about 8395.8694606336. The cubic root of 70490624 is about 413.0891470172.

The spelling of 70490624 in words is "seventy million, four hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 128 148 244 256 296 488 512 592 976 1184 1952 2257 2368 3721 3904 4514 4736 7442 7808 9028 9472 14884 15616 18056 18944 29768 31232 36112 59536 72224 119072 137677 144448 238144 275354 288896 476288 550708 577792 952576 1101416 1155584 1905152 2202832 4405664 8811328 17622656 35245312 70490624