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30490624 = 2141861
BaseRepresentation
bin111010001010…
…0000000000000
32010101002021101
41310110000000
530301144444
63005304144
7520110643
oct164240000
963332241
1030490624
111623606a
12a265054
1364173b8
144099a5a
152a243d4
hex1d14000

30490624 has 30 divisors (see below), whose sum is σ = 61012154. Its totient is φ = 15237120.

The previous prime is 30490591. The next prime is 30490637. The reversal of 30490624 is 42609403.

It can be written as a sum of positive squares in only one way, i.e., 15745024 + 14745600 = 3968^2 + 3840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30490592 and 30490601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15454 + ... + 17314.

Almost surely, 230490624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30506077).

30490624 is an abundant number, since it is smaller than the sum of its proper divisors (30521530).

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

30490624 is an frugal number, since it uses more digits than its factorization.

30490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 30490624 is about 5521.8315801915. The cubic root of 30490624 is about 312.4079694866.

The spelling of 30490624 in words is "thirty million, four hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1861 2048 3722 4096 7444 8192 14888 16384 29776 59552 119104 238208 476416 952832 1905664 3811328 7622656 15245312 30490624