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768616542 = 232313893541
BaseRepresentation
bin101101110100000…
…010100001011110
31222120021202200100
4231310002201132
53033231212132
6204134041530
725022063361
oct5564024136
91876252610
10768616542
11364955a91
121954a92a6
13c33152b5
147411a0d8
154772837c
hex2dd0285e

768616542 has 48 divisors (see below), whose sum is σ = 1723962240. Its totient is φ = 247233600.

The previous prime is 768616501. The next prime is 768616543. The reversal of 768616542 is 245616867.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768616543) 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, 215292 + ... + 218832.

It is an arithmetic number, because the mean of its divisors is an integer number (35915880).

Almost surely, 2768616542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768616542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861981120).

768616542 is an abundant number, since it is smaller than the sum of its proper divisors (955345698).

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

768616542 is a wasteful number, since it uses less digits than its factorization.

768616542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3966 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 768616542 is about 27723.9344610393. The cubic root of 768616542 is about 916.0163855818.

The spelling of 768616542 in words is "seven hundred sixty-eight million, six hundred sixteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 389 558 778 1167 2334 3501 3541 7002 7082 10623 12059 21246 24118 31869 36177 63738 72354 108531 109771 217062 219542 329313 658626 987939 1377449 1975878 2754898 4132347 8264694 12397041 24794082 42700919 85401838 128102757 256205514 384308271 768616542