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70452144 = 24327371889
BaseRepresentation
bin1000011001100…
…00001110110000
311220120100011200
410030300032300
5121013432034
610554011200
71513555560
oct414601660
9156510150
1070452144
113684a814
121b716b00
1311799579
1494dcda0
1562b9a99
hex43303b0

70452144 has 120 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 19574784.

The previous prime is 70452139. The next prime is 70452149. The reversal of 70452144 is 44125407.

70452144 is a `hidden beast` number, since 70 + 452 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (70452139) and next prime (70452149).

It is not an unprimeable number, because it can be changed into a prime (70452149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36352 + ... + 38240.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 270452144 is an apocalyptic number.

70452144 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 70452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

70452144 is an abundant number, since it is smaller than the sum of its proper divisors (161095536).

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

70452144 is a wasteful number, since it uses less digits than its factorization.

70452144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 70452144 is about 8393.5775447660. The cubic root of 70452144 is about 413.0139665049.

The spelling of 70452144 in words is "seventy million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 1889 2072 2331 2664 3108 3778 4144 4662 5328 5667 6216 7556 9324 11334 12432 13223 15112 17001 18648 22668 26446 30224 34002 37296 39669 45336 52892 68004 69893 79338 90672 105784 119007 136008 139786 158676 209679 211568 238014 272016 279572 317352 419358 476028 489251 559144 629037 634704 838716 952056 978502 1118288 1258074 1467753 1677432 1904112 1957004 2516148 2935506 3354864 3914008 4403259 5032296 5871012 7828016 8806518 10064592 11742024 17613036 23484048 35226072 70452144