[go: up one dir, main page]

Search a number
-
+
55906732 = 22753101373
BaseRepresentation
bin1101010101000…
…1000110101100
310220012100121201
43111101012230
5103303003412
65314135244
71246125250
oct325210654
9126170551
1055906732
1129615612
1216881524
13b775b0b
1475d4260
154d94e57
hex35511ac

55906732 has 48 divisors (see below), whose sum is σ = 115359552. Its totient is φ = 23212800.

The previous prime is 55906729. The next prime is 55906789. The reversal of 55906732 is 23760955.

It is a junction number, because it is equal to n+sod(n) for n = 55906691 and 55906700.

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, 149698 + ... + 150070.

It is an arithmetic number, because the mean of its divisors is an integer number (2403324).

Almost surely, 255906732 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 55906732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57679776).

55906732 is an abundant number, since it is smaller than the sum of its proper divisors (59452820).

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

55906732 is a wasteful number, since it uses less digits than its factorization.

55906732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 55906732 is about 7477.0804462705. The cubic root of 55906732 is about 382.3737194027.

The spelling of 55906732 in words is "fifty-five million, nine hundred six thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 101 106 202 212 371 373 404 707 742 746 1414 1484 1492 2611 2828 5222 5353 10444 10706 19769 21412 37471 37673 39538 74942 75346 79076 138383 149884 150692 263711 276766 527422 553532 1054844 1996669 3993338 7986676 13976683 27953366 55906732