Search a number
-
+
152603352 = 23341179271
BaseRepresentation
bin10010001100010…
…00101011011000
3101122011001110000
421012020223120
5303031301402
623050453000
73532051506
oct1106105330
9348131400
10152603352
1179160180
1243134160
1325800b55
14163a5676
15d5e5c1c
hex9188ad8

152603352 has 160 divisors (see below), whose sum is σ = 473932800. Its totient is φ = 45489600.

The previous prime is 152603351. The next prime is 152603387. The reversal of 152603352 is 253306251.

152603352 is a `hidden beast` number, since 1 + 5 + 2 + 603 + 3 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152603351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562977 + ... + 563247.

It is an arithmetic number, because the mean of its divisors is an integer number (2962080).

Almost surely, 2152603352 is an apocalyptic number.

152603352 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 152603352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236966400).

152603352 is an abundant number, since it is smaller than the sum of its proper divisors (321329448).

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

152603352 is a wasteful number, since it uses less digits than its factorization.

152603352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 152603352 is about 12353.2729266377. The cubic root of 152603352 is about 534.3855314637.

The spelling of 152603352 in words is "one hundred fifty-two million, six hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 79 81 88 99 108 132 158 162 198 216 237 264 271 297 316 324 396 474 542 594 632 648 711 792 813 869 891 948 1084 1188 1422 1626 1738 1782 1896 2133 2168 2376 2439 2607 2844 2981 3252 3476 3564 4266 4878 5214 5688 5962 6399 6504 6952 7128 7317 7821 8532 8943 9756 10428 11924 12798 14634 15642 17064 17886 19512 20856 21409 21951 23463 23848 25596 26829 29268 31284 35772 42818 43902 46926 51192 53658 58536 62568 64227 70389 71544 80487 85636 87804 93852 107316 128454 140778 160974 171272 175608 187704 192681 214632 235499 241461 256908 281556 321948 385362 470998 482922 513816 563112 578043 643896 706497 770724 941996 965844 1156086 1412994 1541448 1734129 1883992 1931688 2119491 2312172 2825988 3468258 4238982 4624344 5651976 6358473 6936516 8477964 12716946 13873032 16955928 19075419 25433892 38150838 50867784 76301676 152603352