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1528394920 = 235135355457
BaseRepresentation
bin101101100011001…
…0111010010101000
310221111221111200021
41123012113102220
511112232114140
6411354450224
752606066603
oct13306272250
93844844607
101528394920
117148147a8
12367a33974
131b48547c0
14106db533a
158e2a7b4a
hex5b1974a8

1528394920 has 64 divisors (see below), whose sum is σ = 3773362320. Its totient is φ = 553672704.

The previous prime is 1528394899. The next prime is 1528394929. The reversal of 1528394920 is 294938251.

It can be written as a sum of positive squares in 8 ways, for example, as 97891236 + 1430503684 = 9894^2 + 37822^2 .

It is not an unprimeable number, because it can be changed into a prime (1528394929) 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, 169 + ... + 55288.

Almost surely, 21528394920 is an apocalyptic number.

1528394920 is a gapful number since it is divisible by the number (10) 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 1528394920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886681160).

1528394920 is an abundant number, since it is smaller than the sum of its proper divisors (2244967400).

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

1528394920 is a wasteful number, since it uses less digits than its factorization.

1528394920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55534 (or 55530 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 1528394920 is about 39094.6917112797. The cubic root of 1528394920 is about 1151.8922646323.

The spelling of 1528394920 in words is "one billion, five hundred twenty-eight million, three hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 5512 6890 13780 27560 55457 110914 221828 277285 443656 554570 720941 1109140 1441882 2218280 2883764 2939221 3604705 5767528 5878442 7209410 11756884 14418820 14696105 23513768 28837640 29392210 38209873 58784420 76419746 117568840 152839492 191049365 305678984 382098730 764197460 1528394920