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55890552 = 2331923732
BaseRepresentation
bin1101010100110…
…1001001111000
310220011112102110
43111031021320
5103301444202
65313532320
71246030134
oct325151170
9126145373
1055890552
1129604443
12168740a0
13b76b643
1475cc3c4
154d9026c
hex354d278

55890552 has 96 divisors (see below), whose sum is σ = 155606400. Its totient is φ = 16651008.

The previous prime is 55890547. The next prime is 55890553. The reversal of 55890552 is 25509855.

55890552 = T448 + T449 + ... + T751.

55890552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55890552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55890553) 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 23 ways as a sum of consecutive naturals, for example, 765588 + ... + 765660.

It is an arithmetic number, because the mean of its divisors is an integer number (1620900).

Almost surely, 255890552 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 55890552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77803200).

55890552 is an abundant number, since it is smaller than the sum of its proper divisors (99715848).

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

55890552 is a wasteful number, since it uses less digits than its factorization.

55890552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The square root of 55890552 is about 7475.9983948634. The cubic root of 55890552 is about 382.3368281763.

The spelling of 55890552 in words is "fifty-five million, eight hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 73 76 92 114 138 146 152 184 219 228 276 292 437 438 456 552 584 874 876 1311 1387 1679 1748 1752 2622 2774 3358 3496 4161 5037 5244 5329 5548 6716 8322 10074 10488 10658 11096 13432 15987 16644 20148 21316 31901 31974 33288 40296 42632 63802 63948 95703 101251 122567 127604 127896 191406 202502 245134 255208 303753 367701 382812 405004 490268 607506 735402 765624 810008 980536 1215012 1470804 2328773 2430024 2941608 4657546 6986319 9315092 13972638 18630184 27945276 55890552