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4465253952 = 2634861353
BaseRepresentation
bin1000010100010011…
…00101111001000000
3102112012011101220000
410022021211321000
533121101111302
62015025520000
7215440014045
oct41211457100
912465141800
104465253952
111991579425
12a474a3000
1356212c503
143050631cc
151b202831c
hex10a265e40

4465253952 has 70 divisors (see below), whose sum is σ = 13236426918. Its totient is φ = 1488416256.

The previous prime is 4465253939. The next prime is 4465253959. The reversal of 4465253952 is 2593525644.

4465253952 is a `hidden beast` number, since 4 + 4 + 65 + 2 + 539 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4464377856 + 876096 = 66816^2 + 936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4465253898 and 4465253907.

It is not an unprimeable number, because it can be changed into a prime (4465253959) 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, 425493 + ... + 435860.

Almost surely, 24465253952 is an apocalyptic number.

It is an amenable number.

4465253952 is an abundant number, since it is smaller than the sum of its proper divisors (8771172966).

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

4465253952 is an equidigital number, since it uses as much as digits as its factorization.

4465253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861377 (or 861358 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 4465253952 is about 66822.5557128729. Note that the first 3 decimals coincide. The cubic root of 4465253952 is about 1646.7034213705.

The spelling of 4465253952 in words is "four billion, four hundred sixty-five million, two hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 861353 1722706 2584059 3445412 5168118 6890824 7752177 10336236 13781648 15504354 20672472 23256531 27563296 31008708 41344944 46513062 55126592 62017416 69769593 82689888 93026124 124034832 139539186 165379776 186052248 248069664 279078372 372104496 496139328 558156744 744208992 1116313488 1488417984 2232626976 4465253952