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48150432 = 25321115199
BaseRepresentation
bin1011011110101…
…1011110100000
310100121021222100
42313223132200
544311303212
64440010400
71123162161
oct267533640
9110537870
1048150432
11251a8150
1214160a00
139c8b5a5
146575768
154361bdc
hex2deb7a0

48150432 has 72 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 14590080.

The previous prime is 48150413. The next prime is 48150439. The reversal of 48150432 is 23405184.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 48150396 and 48150405.

It is not an unprimeable number, because it can be changed into a prime (48150439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4432 + ... + 10767.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 248150432 is an apocalyptic number.

It is an amenable number.

48150432 is an abundant number, since it is smaller than the sum of its proper divisors (101235168).

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

48150432 is a wasteful number, since it uses less digits than its factorization.

48150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15226 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48150432 is about 6939.0512319769. The cubic root of 48150432 is about 363.8033797030.

The spelling of 48150432 in words is "forty-eight million, one hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 15199 30398 45597 60796 91194 121592 136791 167189 182388 243184 273582 334378 364776 486368 501567 547164 668756 729552 1003134 1094328 1337512 1459104 1504701 2006268 2188656 2675024 3009402 4012536 4377312 5350048 6018804 8025072 12037608 16050144 24075216 48150432