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761253012 = 2233131928537
BaseRepresentation
bin101101010111111…
…100110010010100
31222001102122211000
4231113330302110
53024340044022
6203312143300
724602354352
oct5527746224
91861378730
10761253012
11360786723
12192b37b30
13c1937790
14731607d2
1546c716ac
hex2d5fcc94

761253012 has 96 divisors (see below), whose sum is σ = 2237379200. Its totient is φ = 221895936.

The previous prime is 761252981. The next prime is 761253023. The reversal of 761253012 is 210352167.

It is a happy number.

761253012 is a `hidden beast` number, since 7 + 612 + 5 + 30 + 12 = 666.

It is a super-2 number, since 2×7612530122 = 1159012296558144288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12408 + ... + 40944.

Almost surely, 2761253012 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 761253012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118689600).

761253012 is an abundant number, since it is smaller than the sum of its proper divisors (1476126188).

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

761253012 is a wasteful number, since it uses less digits than its factorization.

761253012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28582 (or 28574 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 761253012 is about 27590.8139060811. The cubic root of 761253012 is about 913.0817755471.

The spelling of 761253012 in words is "seven hundred sixty-one million, two hundred fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 13338 26676 28537 57074 85611 114148 171222 256833 342444 370981 513666 542203 741962 770499 1027332 1084406 1112943 1483924 1540998 1626609 2168812 2225886 3081996 3253218 3338829 4451772 4879827 6506436 6677658 7048639 9759654 10016487 13355316 14097278 14639481 19519308 20032974 21145917 28194556 29278962 40065948 42291834 58557924 63437751 84583668 126875502 190313253 253751004 380626506 761253012