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55472640 = 293531233
BaseRepresentation
bin1101001110011…
…1001000000000
310212101022011020
43103213020000
5103200111030
65300545440
71242336546
oct323471000
9125338136
1055472640
1129349463
12166b2280
13b653362
14751dd96
154d0b510
hex34e7200

55472640 has 160 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 14254080.

The previous prime is 55472633. The next prime is 55472663. The reversal of 55472640 is 4627455.

It is a tau number, because it is divible by the number of its divisors (160).

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, 237964 + ... + 238196.

Almost surely, 255472640 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 55472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

55472640 is an abundant number, since it is smaller than the sum of its proper divisors (128372736).

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

55472640 is a wasteful number, since it uses less digits than its factorization.

55472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 55472640 is about 7447.9957035433. The cubic root of 55472640 is about 381.3814904325.

The spelling of 55472640 in words is "fifty-five million, four hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 233 240 248 256 310 320 372 384 465 466 480 496 512 620 640 699 744 768 930 932 960 992 1165 1240 1280 1398 1488 1536 1860 1864 1920 1984 2330 2480 2560 2796 2976 3495 3720 3728 3840 3968 4660 4960 5592 5952 6990 7223 7440 7456 7680 7936 9320 9920 11184 11904 13980 14446 14880 14912 15872 18640 19840 21669 22368 23808 27960 28892 29760 29824 36115 37280 39680 43338 44736 47616 55920 57784 59520 59648 72230 74560 79360 86676 89472 108345 111840 115568 119040 119296 144460 149120 173352 178944 216690 223680 231136 238080 288920 298240 346704 357888 433380 447360 462272 577840 596480 693408 866760 894720 924544 1155680 1386816 1733520 1789440 1849088 2311360 2773632 3467040 3698176 4622720 5547264 6934080 9245440 11094528 13868160 18490880 27736320 55472640