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5342148100 = 225273092
BaseRepresentation
bin1001111100110101…
…01011011000000100
3111210022012020112001
410332122223120010
541420042214400
62242032435044
7246245336542
oct47632533004
914708166461
105342148100
1122a1559a33
1210510a8a84
136719c5ba3
143896c6d92
15213edda6a
hex13e6ab604

5342148100 has 27 divisors (see below), whose sum is σ = 11594047647. Its totient is φ = 2136566880.

The previous prime is 5342148089. The next prime is 5342148127. The reversal of 5342148100 is 18412435.

The square root of 5342148100 is 73090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 211004676 + 5131143424 = 14526^2 + 71632^2 .

It is a super-2 number, since 2×53421481002 = 57077092644667220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 727246 + ... + 734554.

Almost surely, 25342148100 is an apocalyptic number.

5342148100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5342148100 is the 73090-th square number.

It is an amenable number.

5342148100 is an abundant number, since it is smaller than the sum of its proper divisors (6251899547).

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

5342148100 is an frugal number, since it uses more digits than its factorization.

5342148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14632 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 5342148100 is about 1748.1229506627.

The spelling of 5342148100 in words is "five billion, three hundred forty-two million, one hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7309 14618 29236 36545 73090 146180 182725 365450 730900 53421481 106842962 213685924 267107405 534214810 1068429620 1335537025 2671074050 5342148100