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1407463252 = 2213174138833
BaseRepresentation
bin101001111100100…
…0010111101010100
310122002101112121121
41103321002331110
510340302311002
6351354453324
746610145256
oct12371027524
93562345547
101407463252
11662526a78
12333434244
131957927c0
14d4cd5cd6
158386b237
hex53e42f54

1407463252 has 48 divisors (see below), whose sum is σ = 2877133392. Its totient is φ = 596459520.

The previous prime is 1407463241. The next prime is 1407463261. The reversal of 1407463252 is 2523647041.

It can be written as a sum of positive squares in 8 ways, for example, as 308142916 + 1099320336 = 17554^2 + 33156^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 16828 + ... + 55660.

It is an arithmetic number, because the mean of its divisors is an integer number (59940279).

Almost surely, 21407463252 is an apocalyptic number.

It is an amenable number.

1407463252 is an abundant number, since it is smaller than the sum of its proper divisors (1469670140).

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

1407463252 is a wasteful number, since it uses less digits than its factorization.

1407463252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38908 (or 38906 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 1407463252 is about 37516.1732056989. The cubic root of 1407463252 is about 1120.6732909591.

The spelling of 1407463252 in words is "one billion, four hundred seven million, four hundred sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 13 17 26 34 41 52 68 82 164 221 442 533 697 884 1066 1394 2132 2788 9061 18122 36244 38833 77666 155332 504829 660161 1009658 1320322 1592153 2019316 2640644 3184306 6368612 8582093 17164186 20697989 27066601 34328372 41395978 54133202 82791956 108266404 351865813 703731626 1407463252