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48212136 = 23327172331
BaseRepresentation
bin1011011111101…
…0100010101000
310100201102121200
42313322202220
544320242021
64441204200
71123540110
oct267724250
9110642550
1048212136
112523a545
1214190660
139cb06bb
146590040
154375126
hex2dfa8a8

48212136 has 144 divisors (see below), whose sum is σ = 159001440. Its totient is φ = 12925440.

The previous prime is 48212113. The next prime is 48212141. The reversal of 48212136 is 63121284.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145491 + ... + 145821.

Almost surely, 248212136 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 48212136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79500720).

48212136 is an abundant number, since it is smaller than the sum of its proper divisors (110789304).

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

48212136 is a wasteful number, since it uses less digits than its factorization.

48212136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 48212136 is about 6943.4959494479. The cubic root of 48212136 is about 363.9587160843.

The spelling of 48212136 in words is "forty-eight million, two hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 289 306 331 357 408 476 504 578 612 662 714 867 952 993 1071 1156 1224 1324 1428 1734 1986 2023 2142 2312 2317 2601 2648 2856 2979 3468 3972 4046 4284 4634 5202 5627 5958 6069 6936 6951 7944 8092 8568 9268 10404 11254 11916 12138 13902 16184 16881 18207 18536 20808 20853 22508 23832 24276 27804 33762 36414 39389 41706 45016 48552 50643 55608 67524 72828 78778 83412 95659 101286 118167 135048 145656 157556 166824 191318 202572 236334 286977 315112 354501 382636 405144 472668 573954 669613 709002 765272 860931 945336 1147908 1339226 1418004 1721862 2008839 2295816 2678452 2836008 3443724 4017678 5356904 6026517 6887448 8035356 12053034 16070712 24106068 48212136