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48535344 = 243211132357
BaseRepresentation
bin1011100100100…
…1011100110000
310101022211222100
42321021130300
544411112334
64452140400
71126354314
oct271113460
9111284870
1048535344
1125440360
1214307700
13a094850
146635b44
1543dac99
hex2e49730

48535344 has 120 divisors (see below), whose sum is σ = 159646032. Its totient is φ = 13570560.

The previous prime is 48535339. The next prime is 48535381. The reversal of 48535344 is 44353584.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48535299 and 48535308.

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, 19414 + ... + 21770.

Almost surely, 248535344 is an apocalyptic number.

48535344 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 48535344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79823016).

48535344 is an abundant number, since it is smaller than the sum of its proper divisors (111110688).

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

48535344 is a wasteful number, since it uses less digits than its factorization.

48535344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2386 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 48535344 is about 6966.7312277710. The cubic root of 48535344 is about 364.7702162896.

The spelling of 48535344 in words is "forty-eight million, five hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2357 2574 3432 4714 5148 6864 7071 9428 10296 14142 18856 20592 21213 25927 28284 30641 37712 42426 51854 56568 61282 77781 84852 91923 103708 113136 122564 155562 169704 183846 207416 233343 245128 275769 311124 337051 339408 367692 414832 466686 490256 551538 622248 674102 735384 933372 1011153 1103076 1244496 1348204 1470768 1866744 2022306 2206152 2696408 3033459 3733488 4044612 4412304 5392816 6066918 8089224 12133836 16178448 24267672 48535344