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102448152 = 23341953157
BaseRepresentation
bin1100001101100…
…11110000011000
321010202220110000
412012303300120
5202211320102
614055453000
72352536442
oct606636030
9233686400
10102448152
11529138a4
122a387160
13182bcc11
14d86b492
158eda01c
hex61b3c18

102448152 has 160 divisors (see below), whose sum is σ = 309711600. Its totient is φ = 31539456.

The previous prime is 102448139. The next prime is 102448163. The reversal of 102448152 is 251844201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 652458 + ... + 652614.

Almost surely, 2102448152 is an apocalyptic number.

102448152 is a gapful number since it is divisible by the number (12) 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 102448152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154855800).

102448152 is an abundant number, since it is smaller than the sum of its proper divisors (207263448).

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

102448152 is a wasteful number, since it uses less digits than its factorization.

102448152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 102448152 is about 10121.6674515615. The cubic root of 102448152 is about 467.9161585509.

The spelling of 102448152 in words is "one hundred two million, four hundred forty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 53 54 57 72 76 81 106 108 114 152 157 159 162 171 212 216 228 314 318 324 342 424 456 471 477 513 628 636 648 684 942 954 1007 1026 1256 1272 1368 1413 1431 1539 1884 1908 2014 2052 2826 2862 2983 3021 3078 3768 3816 4028 4104 4239 4293 5652 5724 5966 6042 6156 8056 8321 8478 8586 8949 9063 11304 11448 11932 12084 12312 12717 16642 16956 17172 17898 18126 23864 24168 24963 25434 26847 27189 33284 33912 34344 35796 36252 49926 50868 53694 54378 66568 71592 72504 74889 80541 81567 99852 101736 107388 108756 149778 158099 161082 163134 199704 214776 217512 224667 241623 299556 316198 322164 326268 449334 474297 483246 599112 632396 644328 652536 674001 898668 948594 966492 1264792 1348002 1422891 1797336 1897188 1932984 2696004 2845782 3794376 4268673 5392008 5691564 8537346 11383128 12806019 17074692 25612038 34149384 51224076 102448152