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62690628 = 2237111317307
BaseRepresentation
bin1110111100100…
…1010101000100
311100222000101010
43233021111010
5112022100003
610115402220
71360601340
oct357112504
9140860333
1062690628
1132429440
1218bb3370
13ccac860
14847c620
155785003
hex3bc9544

62690628 has 192 divisors, whose sum is σ = 208631808. Its totient is φ = 14100480.

The previous prime is 62690609. The next prime is 62690651. The reversal of 62690628 is 82609626.

62690628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×626906283 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204051 + ... + 204357.

It is an arithmetic number, because the mean of its divisors is an integer number (1086624).

Almost surely, 262690628 is an apocalyptic number.

62690628 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62690628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104315904).

62690628 is an abundant number, since it is smaller than the sum of its proper divisors (145941180).

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

62690628 is a wasteful number, since it uses less digits than its factorization.

62690628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 62690628 is about 7917.7413446007. The cubic root of 62690628 is about 397.2533242676.

The spelling of 62690628 in words is "sixty-two million, six hundred ninety thousand, six hundred twenty-eight".