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1604488272 = 24383521773
BaseRepresentation
bin101111110100010…
…1000110001010000
311010211010110010120
41133220220301100
511241222111042
6423113430240
754521632242
oct13750506120
94124113116
101604488272
11753767872
1238940b380
131c754795a
14113142092
1595cd8dec
hex5fa28c50

1604488272 has 80 divisors (see below), whose sum is σ = 4208355648. Its totient is φ = 526689280.

The previous prime is 1604488261. The next prime is 1604488279. The reversal of 1604488272 is 2728844061.

It is a super-2 number, since 2×16044882722 = 5148765229971091968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604488279) 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, 2075278 + ... + 2076050.

Almost surely, 21604488272 is an apocalyptic number.

1604488272 is a gapful number since it is divisible by the number (12) 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 1604488272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104177824).

1604488272 is an abundant number, since it is smaller than the sum of its proper divisors (2603867376).

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

1604488272 is a wasteful number, since it uses less digits than its factorization.

1604488272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1604488272 is about 40056.0641101944. The cubic root of 1604488272 is about 1170.6997231640.

The spelling of 1604488272 in words is "one billion, six hundred four million, four hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 521 664 773 996 1042 1328 1546 1563 1992 2084 2319 3092 3126 3984 4168 4638 6184 6252 8336 9276 12368 12504 18552 25008 37104 43243 64159 86486 128318 129729 172972 192477 256636 259458 345944 384954 402733 513272 518916 691888 769908 805466 1026544 1037832 1208199 1539816 1610932 2075664 2416398 3079632 3221864 4832796 6443728 9665592 19331184 33426839 66853678 100280517 133707356 200561034 267414712 401122068 534829424 802244136 1604488272