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4532777952 = 253291628153
BaseRepresentation
bin1000011100010110…
…01011001111100000
3102200220012222101220
410032023023033200
533240342343302
62025441055040
7220216656033
oct41613131740
912626188356
104532777952
111a166a918a
12a66027480
13573112041
1430dddd01a
151b7e154bc
hex10e2cb3e0

4532777952 has 48 divisors (see below), whose sum is σ = 12308844240. Its totient is φ = 1458824192.

The previous prime is 4532777941. The next prime is 4532778007. The reversal of 4532777952 is 2597772354.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4532777895 and 4532777904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811293 + ... + 816860.

It is an arithmetic number, because the mean of its divisors is an integer number (256434255).

Almost surely, 24532777952 is an apocalyptic number.

It is an amenable number.

4532777952 is an abundant number, since it is smaller than the sum of its proper divisors (7776066288).

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

4532777952 is a wasteful number, since it uses less digits than its factorization.

4532777952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628195 (or 1628187 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 51.

The square root of 4532777952 is about 67325.9084751183. The cubic root of 4532777952 is about 1654.9624647463.

The spelling of 4532777952 in words is "four billion, five hundred thirty-two million, seven hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 1628153 3256306 4884459 6512612 9768918 13025224 19537836 26050448 39075672 47216437 52100896 78151344 94432874 141649311 156302688 188865748 283298622 377731496 566597244 755462992 1133194488 1510925984 2266388976 4532777952