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48069632 = 2101323157
BaseRepresentation
bin1011011101011…
…1110000000000
310100110012010202
42313113300000
544301212012
64434144332
71122404462
oct267276000
9110405122
1048069632
1125152476
12141220a8
139c60890
146554132
154347cc2
hex2dd7c00

48069632 has 88 divisors (see below), whose sum is σ = 108671136. Its totient is φ = 21086208.

The previous prime is 48069631. The next prime is 48069641. The reversal of 48069632 is 23696084.

It is a super-3 number, since 3×480696323 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48069631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306098 + ... + 306254.

Almost surely, 248069632 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 48069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54335568).

48069632 is an abundant number, since it is smaller than the sum of its proper divisors (60601504).

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

48069632 is a wasteful number, since it uses less digits than its factorization.

48069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 48069632 is about 6933.2266658461. The cubic root of 48069632 is about 363.5997694084.

The spelling of 48069632 in words is "forty-eight million, sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 157 184 208 256 299 314 368 416 512 598 628 736 832 1024 1196 1256 1472 1664 2041 2392 2512 2944 3328 3611 4082 4784 5024 5888 6656 7222 8164 9568 10048 11776 13312 14444 16328 19136 20096 23552 28888 32656 38272 40192 46943 57776 65312 76544 80384 93886 115552 130624 153088 160768 187772 231104 261248 306176 375544 462208 522496 751088 924416 1044992 1502176 1848832 2089984 3004352 3697664 6008704 12017408 24034816 48069632