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1472135504 = 247194147359
BaseRepresentation
bin101011110111111…
…0000000101010000
310210121002020021012
41113233300011100
511003331314004
6402024550052
751323642150
oct12757600520
93717066235
101472135504
11695a89214
12351022328
131a5cb72c8
14dd72c760
158939346e
hex57bf0150

1472135504 has 160 divisors (see below), whose sum is σ = 3599769600. Its totient is φ = 569134080.

The previous prime is 1472135479. The next prime is 1472135507. The reversal of 1472135504 is 4055312741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472135507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4100477 + ... + 4100835.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 21472135504 is an apocalyptic number.

1472135504 is a gapful number since it is divisible by the number (14) 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 1472135504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

1472135504 is an abundant number, since it is smaller than the sum of its proper divisors (2127634096).

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

1472135504 is a wasteful number, since it uses less digits than its factorization.

1472135504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 1472135504 is about 38368.4180544364. The cubic root of 1472135504 is about 1137.5816962456.

The spelling of 1472135504 in words is "one billion, four hundred seventy-two million, one hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 41 47 56 76 82 94 112 133 152 164 188 266 287 304 328 329 359 376 532 574 656 658 718 752 779 893 1064 1148 1316 1436 1558 1786 1927 2128 2296 2513 2632 2872 3116 3572 3854 4592 5026 5264 5453 5744 6232 6251 6821 7144 7708 10052 10906 12464 12502 13489 13642 14288 14719 15416 16873 20104 21812 25004 26978 27284 29438 30832 33746 36613 40208 43624 47747 50008 53956 54568 58876 67492 73226 87248 95494 100016 103033 107912 109136 117752 118111 134984 146452 190988 206066 215824 235504 236222 256291 269968 279661 292904 320587 381976 412132 472444 512582 559322 585808 641174 691793 763952 824264 944888 1025164 1118644 1282348 1383586 1648528 1889776 1957627 2050328 2237288 2244109 2564696 2767172 3915254 4100656 4474576 4488218 4842551 5129392 5534344 7830508 8976436 9685102 11068688 13144067 15661016 17952872 19370204 26288134 31322032 35905744 38740408 52576268 77480816 92008469 105152536 184016938 210305072 368033876 736067752 1472135504