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5210725392 = 2432378311783
BaseRepresentation
bin1001101101001010…
…10101110000010000
3111110010220021110100
410312211111300100
541132421203032
62221015532400
7243061302135
oct46645256020
914403807410
105210725392
112234356124
12101508a100
136506cc982
1437607658c
152076cd97c
hex136955c10

5210725392 has 120 divisors (see below), whose sum is σ = 15158654784. Its totient is φ = 1669462272.

The previous prime is 5210725379. The next prime is 5210725393. The reversal of 5210725392 is 2935270125.

5210725392 is a `hidden beast` number, since 52 + 1 + 0 + 72 + 539 + 2 = 666.

It is a super-2 number, since 2×52107253922 = 54303318221667107328, which contains 22 as substring.

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 (5210725393) 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, 436333 + ... + 448115.

Almost surely, 25210725392 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 5210725392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579327392).

5210725392 is an abundant number, since it is smaller than the sum of its proper divisors (9947929392).

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

5210725392 is a wasteful number, since it uses less digits than its factorization.

5210725392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11917 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5210725392 is about 72185.3544148673. The cubic root of 5210725392 is about 1733.6685149963.

The spelling of 5210725392 in words is "five billion, two hundred ten million, seven hundred twenty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 83 111 144 148 166 222 249 296 332 333 444 498 592 664 666 747 888 996 1328 1332 1494 1776 1992 2664 2988 3071 3984 5328 5976 6142 9213 11783 11952 12284 18426 23566 24568 27639 35349 36852 47132 49136 55278 70698 73704 94264 106047 110556 141396 147408 188528 212094 221112 282792 424188 435971 442224 565584 848376 871942 977989 1307913 1696752 1743884 1955978 2615826 2933967 3487768 3911956 3923739 5231652 5867934 6975536 7823912 7847478 8801901 10463304 11735868 15647824 15694956 17603802 20926608 23471736 31389912 35207604 36185593 46943472 62779824 70415208 72371186 108556779 140830416 144742372 217113558 289484744 325670337 434227116 578969488 651340674 868454232 1302681348 1736908464 2605362696 5210725392