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48937464 = 23321983431
BaseRepresentation
bin1011101010101…
…1100111111000
310102002021120200
42322223213320
5100011444324
64504522200
71132650552
oct272534770
9112067520
1048937464
1125695494
1214480360
13a1a58a4
1466dc4d2
154469ec9
hex2eab9f8

48937464 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 15232320.

The previous prime is 48937457. The next prime is 48937487. The reversal of 48937464 is 46473984.

It is a super-3 number, since 3×489374643 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113329 + ... + 113759.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 248937464 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 48937464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

48937464 is an abundant number, since it is smaller than the sum of its proper divisors (92585736).

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

48937464 is a wasteful number, since it uses less digits than its factorization.

48937464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 48937464 is about 6995.5317167461. The cubic root of 48937464 is about 365.7748323885.

The spelling of 48937464 in words is "forty-eight million, nine hundred thirty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 83 114 152 166 171 228 249 332 342 431 456 498 664 684 747 862 996 1293 1368 1494 1577 1724 1992 2586 2988 3154 3448 3879 4731 5172 5976 6308 7758 8189 9462 10344 12616 14193 15516 16378 18924 24567 28386 31032 32756 35773 37848 49134 56772 65512 71546 73701 98268 107319 113544 143092 147402 196536 214638 286184 294804 321957 429276 589608 643914 679687 858552 1287828 1359374 2039061 2575656 2718748 4078122 5437496 6117183 8156244 12234366 16312488 24468732 48937464