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147953304 = 23341961197
BaseRepresentation
bin10001101000110…
…01011010011000
3101022101210210000
420310121122120
5300334001204
622403053000
73444403512
oct1064313230
9338353700
10147953304
1176574564
1241671160
1324863445
1415914bb2
15cec8039
hex8d19698

147953304 has 160 divisors (see below), whose sum is σ = 445618800. Its totient is φ = 45722880.

The previous prime is 147953303. The next prime is 147953317. The reversal of 147953304 is 403359741.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147953303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 750934 + ... + 751130.

Almost surely, 2147953304 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 147953304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222809400).

147953304 is an abundant number, since it is smaller than the sum of its proper divisors (297665496).

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

147953304 is a wasteful number, since it uses less digits than its factorization.

147953304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 147953304 is about 12163.6057154119. The cubic root of 147953304 is about 528.9016103644.

The spelling of 147953304 in words is "one hundred forty-seven million, nine hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 61 72 76 81 108 114 122 152 162 171 183 197 216 228 244 324 342 366 394 456 488 513 549 591 648 684 732 788 1026 1098 1159 1182 1368 1464 1539 1576 1647 1773 2052 2196 2318 2364 3078 3294 3477 3546 3743 4104 4392 4636 4728 4941 5319 6156 6588 6954 7092 7486 9272 9882 10431 10638 11229 12017 12312 13176 13908 14184 14972 15957 19764 20862 21276 22458 24034 27816 29944 31293 31914 33687 36051 39528 41724 42552 44916 48068 62586 63828 67374 72102 83448 89832 93879 96136 101061 108153 125172 127656 134748 144204 187758 202122 216306 228323 250344 269496 288408 303183 324459 375516 404244 432612 456646 606366 648918 684969 751032 808488 865224 913292 973377 1212732 1297836 1369938 1826584 1946754 2054907 2425464 2595672 2739876 3893508 4109814 5479752 6164721 7787016 8219628 12329442 16439256 18494163 24658884 36988326 49317768 73976652 147953304