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52958004 = 22311616577
BaseRepresentation
bin1100101000000…
…1001100110100
310200122112201120
43022001030310
5102024124004
65131023540
71212064341
oct312011464
9120575646
1052958004
1127991150
121589abb0
13ac828c8
1470677c8
1549b13d9
hex3281334

52958004 has 48 divisors (see below), whose sum is σ = 137032896. Its totient is φ = 15782400.

The previous prime is 52957991. The next prime is 52958021. The reversal of 52958004 is 40085925.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4764 + ... + 11340.

It is an arithmetic number, because the mean of its divisors is an integer number (2854852).

Almost surely, 252958004 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 52958004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68516448).

52958004 is an abundant number, since it is smaller than the sum of its proper divisors (84074892).

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

52958004 is a wasteful number, since it uses less digits than its factorization.

52958004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 52958004 is about 7277.2250205693. The cubic root of 52958004 is about 375.5293360130.

The spelling of 52958004 in words is "fifty-two million, nine hundred fifty-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 6577 8052 13154 19731 26308 39462 72347 78924 144694 217041 289388 401197 434082 802394 868164 1203591 1604788 2407182 4413167 4814364 8826334 13239501 17652668 26479002 52958004