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507948048 = 24328342499
BaseRepresentation
bin11110010001101…
…010110000010000
31022101210102201200
4132101222300100
52020013314143
6122223031200
715405326046
oct3621526020
91271712650
10507948048
112407a5983
1212213b500
138130899a
144b664396
152e8d81d3
hex1e46ac10

507948048 has 60 divisors (see below), whose sum is σ = 1438710000. Its totient is φ = 167272128.

The previous prime is 507948041. The next prime is 507948061. The reversal of 507948048 is 840849705.

It is a super-2 number, since 2×5079480482 = 516022438934020608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 507947994 and 507948012.

It is not an unprimeable number, because it can be changed into a prime (507948041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9298 + ... + 33201.

It is an arithmetic number, because the mean of its divisors is an integer number (23978500).

Almost surely, 2507948048 is an apocalyptic number.

It is an amenable number.

507948048 is an abundant number, since it is smaller than the sum of its proper divisors (930761952).

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

507948048 is a wasteful number, since it uses less digits than its factorization.

507948048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42596 (or 42587 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 507948048 is about 22537.7028110675. The cubic root of 507948048 is about 797.8840165352.

The spelling of 507948048 in words is "five hundred seven million, nine hundred forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952 42499 84998 127497 169996 254994 339992 382491 509988 679984 764982 1019976 1529964 2039952 3059928 3527417 6119856 7054834 10582251 14109668 21164502 28219336 31746753 42329004 56438672 63493506 84658008 126987012 169316016 253974024 507948048