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59428116 = 2232113147103
BaseRepresentation
bin1110001010110…
…0110100010100
311010211021001100
43202230310110
5110203144431
65521430100
71321062546
oct342546424
9133737040
1059428116
1130600250
1217a9b330
13c409887
147c6d696
15533d4e6
hex38acd14

59428116 has 144 divisors (see below), whose sum is σ = 174440448. Its totient is φ = 16891200.

The previous prime is 59428099. The next prime is 59428133. The reversal of 59428116 is 61182495.

It is an interprime number because it is at equal distance from previous prime (59428099) and next prime (59428133).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576921 + ... + 577023.

It is an arithmetic number, because the mean of its divisors is an integer number (1211392).

Almost surely, 259428116 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 59428116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87220224).

59428116 is an abundant number, since it is smaller than the sum of its proper divisors (115012332).

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

59428116 is a wasteful number, since it uses less digits than its factorization.

59428116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 59428116 is about 7708.9633544336. The cubic root of 59428116 is about 390.2389856734.

The spelling of 59428116 in words is "fifty-nine million, four hundred twenty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 47 62 66 93 94 99 103 124 132 141 186 188 198 206 279 282 309 341 372 396 412 423 517 558 564 618 682 846 927 1023 1034 1116 1133 1236 1364 1457 1551 1692 1854 2046 2068 2266 2914 3069 3102 3193 3399 3708 4092 4371 4532 4653 4841 5828 6138 6204 6386 6798 8742 9306 9579 9682 10197 12276 12772 13113 13596 14523 16027 17484 18612 19158 19364 20394 26226 28737 29046 32054 35123 38316 40788 43569 48081 52452 53251 57474 58092 64108 70246 87138 96162 105369 106502 114948 140492 144243 150071 159753 174276 192324 210738 213004 288486 300142 316107 319506 421476 450213 479259 576972 600284 632214 639012 900426 958518 1264428 1350639 1650781 1800852 1917036 2701278 3301562 4952343 5402556 6603124 9904686 14857029 19809372 29714058 59428116