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89514396 = 22351937131
BaseRepresentation
bin1010101010111…
…10000110011100
320020102210200000
411111132012130
5140403430041
612514334300
72134600626
oct525360634
9206383600
1089514396
114658a544
1225b8a390
1315711bca
14bc61c16
157cd2bb6
hex555e19c

89514396 has 144 divisors (see below), whose sum is σ = 255615360. Its totient is φ = 27293760.

The previous prime is 89514371. The next prime is 89514409. The reversal of 89514396 is 69341598.

It is a happy number.

Its product of digits (233280) is a multiple of the sum of its prime divisors (192).

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, 683251 + ... + 683381.

Almost surely, 289514396 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 89514396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127807680).

89514396 is an abundant number, since it is smaller than the sum of its proper divisors (166100964).

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

89514396 is a wasteful number, since it uses less digits than its factorization.

89514396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 89514396 is about 9461.2047858610. The cubic root of 89514396 is about 447.3330251031. Note that the first 3 decimals are identical.

The spelling of 89514396 in words is "eighty-nine million, five hundred fourteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 131 148 162 171 222 228 243 262 324 333 342 393 444 486 513 524 666 684 703 786 972 999 1026 1179 1332 1406 1539 1572 1998 2052 2109 2358 2489 2812 2997 3078 3537 3996 4218 4617 4716 4847 4978 5994 6156 6327 7074 7467 8436 8991 9234 9694 9956 10611 11988 12654 14148 14541 14934 17982 18468 18981 19388 21222 22401 25308 29082 29868 31833 35964 37962 42444 43623 44802 56943 58164 63666 67203 75924 87246 89604 92093 113886 127332 130869 134406 170829 174492 184186 201609 227772 261738 268812 276279 341658 368372 392607 403218 523476 552558 604827 683316 785214 806436 828837 1105116 1177821 1209654 1570428 1657674 2355642 2419308 2486511 3315348 4711284 4973022 7459533 9946044 14919066 22378599 29838132 44757198 89514396