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55098624 = 283737277
BaseRepresentation
bin1101001000101…
…1110100000000
310211200022002210
43102023310000
5103101123444
65244542120
71236221250
oct322136400
9124608083
1055098624
1129113459
1216551940
13b552049
147463960
154c857b9
hex348bd00

55098624 has 144 divisors (see below), whose sum is σ = 172742528. Its totient is φ = 15261696.

The previous prime is 55098623. The next prime is 55098643. The reversal of 55098624 is 42689055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55098623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198774 + ... + 199050.

Almost surely, 255098624 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 55098624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86371264).

55098624 is an abundant number, since it is smaller than the sum of its proper divisors (117643904).

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

55098624 is a wasteful number, since it uses less digits than its factorization.

55098624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 55098624 is about 7422.8447377000. The cubic root of 55098624 is about 380.5224208784.

The spelling of 55098624 in words is "fifty-five million, ninety-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 277 296 336 384 444 448 518 554 592 672 768 777 831 888 896 1036 1108 1184 1344 1554 1662 1776 1792 1939 2072 2216 2368 2688 3108 3324 3552 3878 4144 4432 4736 5376 5817 6216 6648 7104 7756 8288 8864 9472 10249 11634 12432 13296 14208 15512 16576 17728 20498 23268 24864 26592 28416 30747 31024 33152 35456 40996 46536 49728 53184 61494 62048 66304 70912 71743 81992 93072 99456 106368 122988 124096 143486 163984 186144 198912 212736 215229 245976 248192 286972 327968 372288 430458 491952 496384 573944 655936 744576 860916 983904 1147888 1311872 1489152 1721832 1967808 2295776 2623744 3443664 3935616 4591552 6887328 7871232 9183104 13774656 18366208 27549312 55098624