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48706944 = 2731113887
BaseRepresentation
bin1011100111001…
…1010110000000
310101122120100220
42321303112000
544432110234
64455543040
71131000516
oct271632600
9111576326
1048706944
1125548280
121438aa80
13a1249a0
14667c4b6
154421a49
hex2e73580

48706944 has 128 divisors (see below), whose sum is σ = 152167680. Its totient is φ = 13608960.

The previous prime is 48706943. The next prime is 48706963. The reversal of 48706944 is 44960784.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 48706896 and 48706905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48706943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54469 + ... + 55355.

It is an arithmetic number, because the mean of its divisors is an integer number (1188810).

Almost surely, 248706944 is an apocalyptic number.

48706944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48706944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76083840).

48706944 is an abundant number, since it is smaller than the sum of its proper divisors (103460736).

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

48706944 is a wasteful number, since it uses less digits than its factorization.

48706944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 48706944 is about 6979.0360365884. The cubic root of 48706944 is about 365.1996005925.

The spelling of 48706944 in words is "forty-eight million, seven hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 887 1056 1144 1248 1408 1664 1716 1774 2112 2288 2496 2661 3432 3548 4224 4576 4992 5322 6864 7096 9152 9757 10644 11531 13728 14192 18304 19514 21288 23062 27456 28384 29271 34593 39028 42576 46124 54912 56768 58542 69186 78056 85152 92248 113536 117084 126841 138372 156112 170304 184496 234168 253682 276744 312224 340608 368992 380523 468336 507364 553488 624448 737984 761046 936672 1014728 1106976 1248896 1475968 1522092 1873344 2029456 2213952 3044184 3746688 4058912 4427904 6088368 8117824 12176736 16235648 24353472 48706944