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70429824 = 27346793
BaseRepresentation
bin1000011001010…
…10110010000000
311220112012120000
410030222302000
5121012223244
610553320000
71513433523
oct414526200
9156465500
1070429824
1136834a73
121b706000
131178c36a
1494d4bba
1562b3169
hex432ac80

70429824 has 80 divisors (see below), whose sum is σ = 209628870. Its totient is φ = 23473152.

The previous prime is 70429823. The next prime is 70429897. The reversal of 70429824 is 42892407.

It can be written as a sum of positive squares in only one way, i.e., 68558400 + 1871424 = 8280^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (70429823) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6972 + ... + 13764.

Almost surely, 270429824 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 70429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104814435).

70429824 is an abundant number, since it is smaller than the sum of its proper divisors (139199046).

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

70429824 is an equidigital number, since it uses as much as digits as its factorization.

70429824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 70429824 is about 8392.2478514400. The cubic root of 70429824 is about 412.9703461366.

It can be divided in two parts, 70429 and 824, that added together give a triangular number (71253 = T377).

The spelling of 70429824 in words is "seventy million, four hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 6793 10368 13586 20379 27172 40758 54344 61137 81516 108688 122274 163032 183411 217376 244548 326064 366822 434752 489096 550233 652128 733644 869504 978192 1100466 1304256 1467288 1956384 2200932 2608512 2934576 3912768 4401864 5869152 7825536 8803728 11738304 17607456 23476608 35214912 70429824