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516393948 = 22372878221
BaseRepresentation
bin11110110001111…
…000101111011100
31022222200112022210
4132301320233130
52024144101243
6123124040420
715540163500
oct3661705734
91288615283
10516393948
11245544464
12124b33110
1382ca5065
144c822300
1530505933
hex1ec78bdc

516393948 has 36 divisors (see below), whose sum is σ = 1401642312. Its totient is φ = 147540960.

The previous prime is 516393937. The next prime is 516393959. The reversal of 516393948 is 849393615.

It is an interprime number because it is at equal distance from previous prime (516393937) and next prime (516393959).

It is a super-4 number, since 4×5163939484 (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 516393897 and 516393906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438523 + ... + 439698.

Almost surely, 2516393948 is an apocalyptic number.

It is an amenable number.

516393948 is an abundant number, since it is smaller than the sum of its proper divisors (885248364).

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

516393948 is a wasteful number, since it uses less digits than its factorization.

516393948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878242 (or 878233 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 516393948 is about 22724.3030256155. The cubic root of 516393948 is about 802.2819989947.

The spelling of 516393948 in words is "five hundred sixteen million, three hundred ninety-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 878221 1756442 2634663 3512884 5269326 6147547 10538652 12295094 18442641 24590188 36885282 43032829 73770564 86065658 129098487 172131316 258196974 516393948