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248516430 = 23525732233
BaseRepresentation
bin11101101000000…
…00111101001110
3122022121221110020
432310000331032
51002110011210
640354323010
76105232461
oct1664007516
9568557406
10248516430
11118310088
126b289466
133c643356
14250112d8
1516c3e770
hexed00f4e

248516430 has 32 divisors (see below), whose sum is σ = 598778784. Its totient is φ = 66011136.

The previous prime is 248516423. The next prime is 248516441. The reversal of 248516430 is 34615842.

248516430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 248516391 and 248516400.

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, 8407 + ... + 23826.

It is an arithmetic number, because the mean of its divisors is an integer number (18711837).

Almost surely, 2248516430 is an apocalyptic number.

248516430 is an abundant number, since it is smaller than the sum of its proper divisors (350262354).

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

248516430 is a wasteful number, since it uses less digits than its factorization.

248516430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32500.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 248516430 is about 15764.4038897765. The cubic root of 248516430 is about 628.7119311309.

It can be divided in two parts, 2485 and 16430, that added together give a triangular number (18915 = T194).

The spelling of 248516430 in words is "two hundred forty-eight million, five hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 257 514 771 1285 1542 2570 3855 7710 32233 64466 96699 161165 193398 322330 483495 966990 8283881 16567762 24851643 41419405 49703286 82838810 124258215 248516430