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48906437904 = 243461432
BaseRepresentation
bin101101100011000011…
…010000010100010000
311200020101002110110000
4231203003100110100
51300130022003104
634244534410000
73350642602032
oct554303202420
9150211073400
1048906437904
1119817455725
12958a800900
1347c533446c
14251d3c9c52
151413881639
hexb630d0510

48906437904 has 75 divisors (see below), whose sum is σ = 141572466343. Its totient is φ = 16299492192.

The previous prime is 48906437869. The next prime is 48906437927. The reversal of 48906437904 is 40973460984.

It is a happy number.

The square root of 48906437904 is 221148.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7958257 + ... + 7964399.

Almost surely, 248906437904 is an apocalyptic number.

48906437904 is the 221148-th square number.

It is an amenable number.

48906437904 is an abundant number, since it is smaller than the sum of its proper divisors (92666028439).

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

48906437904 is an frugal number, since it uses more digits than its factorization.

48906437904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 48906437904 in words is "forty-eight billion, nine hundred six million, four hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 6143 12286 18429 24572 36858 49144 55287 73716 98288 110574 147432 165861 221148 294864 331722 442296 497583 663444 884592 995166 1326888 1990332 2653776 3980664 7961328 37736449 75472898 113209347 150945796 226418694 301891592 339628041 452837388 603783184 679256082 905674776 1018884123 1358512164 1811349552 2037768246 2717024328 3056652369 4075536492 5434048656 6113304738 8151072984 12226609476 16302145968 24453218952 48906437904