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55348704 = 253329472
BaseRepresentation
bin1101001100100…
…0110111100000
310212011000011000
43103020313200
5103132124304
65254152000
71241312325
oct323106740
9125130130
1055348704
1129274334
1216652600
13b60bb18
1474cab4c
154cd4939
hex34c8de0

55348704 has 144 divisors (see below), whose sum is σ = 170629200. Its totient is φ = 17434368.

The previous prime is 55348669. The next prime is 55348721. The reversal of 55348704 is 40784355.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177609 + ... + 1177655.

It is an arithmetic number, because the mean of its divisors is an integer number (1184925).

Almost surely, 255348704 is an apocalyptic number.

55348704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55348704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85314600).

55348704 is an abundant number, since it is smaller than the sum of its proper divisors (115280496).

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

55348704 is a wasteful number, since it uses less digits than its factorization.

55348704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 55348704 is about 7439.6709604659. The cubic root of 55348704 is about 381.0972533677.

The spelling of 55348704 in words is "fifty-five million, three hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 47 48 54 58 72 87 94 96 108 116 141 144 174 188 216 232 261 282 288 348 376 423 432 464 522 564 696 752 783 846 864 928 1044 1128 1269 1363 1392 1504 1566 1692 2088 2209 2256 2538 2726 2784 3132 3384 4089 4176 4418 4512 5076 5452 6264 6627 6768 8178 8352 8836 10152 10904 12267 12528 13254 13536 16356 17672 19881 20304 21808 24534 25056 26508 32712 35344 36801 39762 40608 43616 49068 53016 59643 64061 65424 70688 73602 79524 98136 106032 119286 128122 130848 147204 159048 192183 196272 212064 238572 256244 294408 318096 384366 392544 477144 512488 576549 588816 636192 768732 954288 1024976 1153098 1177632 1537464 1729647 1908576 2049952 2306196 3074928 3459294 4612392 6149856 6918588 9224784 13837176 18449568 27674352 55348704