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55396824 = 23371991657
BaseRepresentation
bin1101001101010…
…0100111011000
310212020110011020
43103110213120
5103140144244
65255202440
71241602530
oct323244730
9125213136
1055396824
11292a74aa
1216676420
13b6279b2
1475004c0
154ce3d19
hex34d49d8

55396824 has 64 divisors (see below), whose sum is σ = 159168000. Its totient is φ = 15738624.

The previous prime is 55396823. The next prime is 55396843. The reversal of 55396824 is 42869355.

55396824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55396823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32604 + ... + 34260.

It is an arithmetic number, because the mean of its divisors is an integer number (2487000).

Almost surely, 255396824 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 55396824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79584000).

55396824 is an abundant number, since it is smaller than the sum of its proper divisors (103771176).

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

55396824 is a wasteful number, since it uses less digits than its factorization.

55396824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1868 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 55396824 is about 7442.9042718552. The cubic root of 55396824 is about 381.2076629866.

The spelling of 55396824 in words is "fifty-five million, three hundred ninety-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 1657 2388 2786 3314 4179 4776 4971 5572 6628 8358 9942 11144 11599 13256 16716 19884 23198 33432 34797 39768 46396 69594 92792 139188 278376 329743 659486 989229 1318972 1978458 2308201 2637944 3956916 4616402 6924603 7913832 9232804 13849206 18465608 27698412 55396824