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70402816 = 2811231087
BaseRepresentation
bin1000011001001…
…00001100000000
311220110211111201
410030210030000
5121010342231
610552550544
71513262011
oct414441400
9156424451
1070402816
1136816750
121b6b2454
131177cc93
1494c9008
1562aa161
hex4324300

70402816 has 72 divisors (see below), whose sum is σ = 160118784. Its totient is φ = 30581760.

The previous prime is 70402811. The next prime is 70402853. The reversal of 70402816 is 61820407.

It is not an unprimeable number, because it can be changed into a prime (70402811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64225 + ... + 65311.

It is an arithmetic number, because the mean of its divisors is an integer number (2223872).

Almost surely, 270402816 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 70402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80059392).

70402816 is an abundant number, since it is smaller than the sum of its proper divisors (89715968).

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

70402816 is a wasteful number, since it uses less digits than its factorization.

70402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 70402816 is about 8390.6385930989. The cubic root of 70402816 is about 412.9175516031.

The spelling of 70402816 in words is "seventy million, four hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 704 736 1012 1087 1408 1472 2024 2174 2816 2944 4048 4348 5888 8096 8696 11957 16192 17392 23914 25001 32384 34784 47828 50002 64768 69568 95656 100004 139136 191312 200008 275011 278272 382624 400016 550022 765248 800032 1100044 1530496 1600064 2200088 3060992 3200128 4400176 6400256 8800352 17600704 35201408 70402816