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4932753152 = 28127173877
BaseRepresentation
bin1001001100000001…
…11101011100000000
3110201202211211020012
410212000331130000
540100241100102
62133250004052
7233144465345
oct44600753400
913652754205
104932753152
1121014574a8
12b57b76628
13607c45262
1434b1987cc
151dd0c1752
hex12603d700

4932753152 has 72 divisors (see below), whose sum is σ = 9992510976. Its totient is φ = 2430038016.

The previous prime is 4932753151. The next prime is 4932753197. The reversal of 4932753152 is 2513572394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932753151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5624138 + ... + 5625014.

Almost surely, 24932753152 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 4932753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996255488).

4932753152 is an abundant number, since it is smaller than the sum of its proper divisors (5059757824).

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

4932753152 is a wasteful number, since it uses less digits than its factorization.

4932753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1179 counting only the distinct ones).

The product of its digits is 226800, while the sum is 41.

The square root of 4932753152 is about 70233.5614361112. The cubic root of 4932753152 is about 1702.2752869521.

The spelling of 4932753152 in words is "four billion, nine hundred thirty-two million, seven hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 127 128 173 254 256 346 508 692 877 1016 1384 1754 2032 2768 3508 4064 5536 7016 8128 11072 14032 16256 21971 22144 28064 32512 43942 44288 56128 87884 111379 112256 151721 175768 222758 224512 303442 351536 445516 606884 703072 891032 1213768 1406144 1782064 2427536 2812288 3564128 4855072 5624576 7128256 9710144 14256512 19268567 19420288 28513024 38537134 38840576 77074268 154148536 308297072 616594144 1233188288 2466376576 4932753152