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1957000644 = 22327321012
BaseRepresentation
bin111010010100101…
…0111010111000100
312001101102221012100
41310221113113010
513001443010034
6522105152100
766332142144
oct16451272704
95041387170
101957000644
11914748605
1246748b630
132525a0561
14147ca4924
15b6c1c099
hex74a575c4

1957000644 has 81 divisors (see below), whose sum is σ = 5065706919. Its totient is φ = 637027200.

The previous prime is 1957000637. The next prime is 1957000651. The reversal of 1957000644 is 4460007591.

The square root of 1957000644 is 44238.

It is a perfect power (a square), and thus also a powerful number.

1957000644 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 0 + 0 + 0 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (1957000637) and next prime (1957000651).

It can be written as a sum of positive squares in 4 ways, for example, as 724148100 + 1232852544 = 26910^2 + 35112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1957000599 and 1957000608.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19376194 + ... + 19376294.

Almost surely, 21957000644 is an apocalyptic number.

1957000644 is the 44238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957000644

1957000644 is an abundant number, since it is smaller than the sum of its proper divisors (3108706275).

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

1957000644 is a wasteful number, since it uses less digits than its factorization.

1957000644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 1957000644 is about 1250.8262577715.

Multiplying 1957000644 by its sum of digits (36), we get a square (70452023184 = 2654282).

1957000644 divided by its sum of digits (36) gives a square (54361129 = 73732).

The spelling of 1957000644 in words is "one billion, nine hundred fifty-seven million, six hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 73 101 146 202 219 292 303 404 438 606 657 876 909 1212 1314 1818 2628 3636 5329 7373 10201 10658 14746 15987 20402 21316 22119 29492 30603 31974 40804 44238 47961 61206 63948 66357 88476 91809 95922 122412 132714 183618 191844 265428 367236 538229 744673 1076458 1489346 1614687 2152916 2234019 2978692 3229374 4468038 4844061 6458748 6702057 8936076 9688122 13404114 19376244 26808228 54361129 108722258 163083387 217444516 326166774 489250161 652333548 978500322 1957000644